{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "UCAS《实验物理数据处理与分析工具》课程\n",
    "\n",
    "# MC部分第二次作业\n",
    "\n",
    "作者：车逾之\n",
    "\n",
    "学号：201928000907028"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 第一题\n",
    "\n",
    "$\\xi \\sim U(0,1)$:  $f_\\xi = 1$\n",
    "\n",
    "$\\xi^{\\prime} = 1 - \\xi$ $\\Rightarrow$ $d\\xi^{\\prime} = -d\\xi$\n",
    "\n",
    "经过变换可以得到$\\xi^{\\prime}$的分布：\n",
    "\n",
    "$f_{\\xi^{\\prime}} = f_{\\xi} \\left|\\frac{d\\xi}{d\\xi^{\\prime}}\\right| = f_\\xi = 1$\n",
    "\n",
    "$\\Rightarrow 1-\\xi \\sim U(0,1)$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 第二题\n",
    "\n",
    "2.a.\n",
    "\n",
    "$\\xi, \\xi_i \\sim U(0,1) :  f_{\\xi_i} = f_{\\xi} = 1 $\n",
    "\n",
    "$\\xi^{\\prime} = max\\{ \\xi_1, \\xi_2\\}$ , $\\xi^{\\prime\\prime} = \\sqrt{\\xi} $\n",
    "\n",
    "他们的概率分布函数分别可以通过概率密度分布函数积分和变量代换得到：\n",
    "\n",
    "$$\n",
    "\\begin{eqnarray}\n",
    "F_{\\xi^{\\prime}}  &=&  2\\int^{\\xi^{\\prime}}_{0} d\\xi_1 \\int^{\\xi_1}_{0} d\\xi_2 = \\xi^{\\prime 2} \\\\\n",
    "\\xi^{\\prime\\prime} &=& \\sqrt{\\xi} \\quad\\Rightarrow\\quad \\xi = \\xi^{\\prime\\prime 2} \\quad\\Rightarrow\\quad \n",
    "F_{\\xi^{\\prime\\prime}} = \\xi^{\\prime\\prime 2}\n",
    " \\end{eqnarray}\n",
    "$$\n",
    "\n",
    "他们具有相同的概率分布函数，可见是同分布。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "2.b.\n",
    "\n",
    "与a.相似，通过多重积分和变量代换可以得到$F_{\\xi^{\\prime}}(x)$:\n",
    "\n",
    "$$\n",
    "\\begin{eqnarray}\n",
    "F_{\\xi^{\\prime}}(x) &=& A^n_n \\int^x_0 d\\xi_1 \\int^{\\xi_1}_0 d\\xi_2 \\int^{\\xi_2}_0 d\\xi_3  \\cdots \\int^{\\xi_{n-1}}_0 d\\xi_n\\\\\n",
    "         &=& n! \\frac{1}{n!} x^n = x^n\n",
    "\\end{eqnarray}\n",
    "$$\n",
    "\n",
    "通过变量代换可得$\\xi^{\\prime\\prime} = \\xi^{1/n}$分布：\n",
    "\n",
    "$$\n",
    "F_{\\xi^{\\prime\\prime} = \\xi^{1/n}} (x) = x^n\n",
    "$$\n",
    "\n",
    "可见同分布."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 第三题\n",
    "\n",
    "设$Z$是一个任意分布的随机变量，概率分布函数为$F_Z(Z)$\n",
    "\n",
    "$Z^{\\prime}$是另一个随机变量，与$Z$具有函数关系：$Z^{\\prime} = F_Z(Z)$\n",
    "\n",
    "那么，通过简单的变量代换可以发现：\n",
    "\n",
    "$$\n",
    "\\begin{eqnarray}\n",
    "&Z^{\\prime}& = F_Z(Z) \\\\\n",
    "&\\Rightarrow& Z = F_Z^{-1}(Z^{\\prime}) \\\\\n",
    "&\\Rightarrow&  F_{Z^{\\prime}}(Z^{\\prime}) = F_Z(Z) = F_Z(F_Z^{-1}(Z^{\\prime})) = Z^{\\prime}\n",
    "\\end{eqnarray}\n",
    "$$\n",
    "\n",
    "可以看出，$Z^{\\prime}$为均匀分布"
   ]
  },
  {
   "attachments": {
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 第五题 & 第六题\n",
    "\n",
    "他们都是对指数函数抽样，程序结果见图。\n",
    "\n",
    "第六题框图如下：\n",
    "\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "{\n",
    "    /******** Question 5 ************/\n",
    "    TRandom3 rnd(32764);\n",
    "    Double_t x = 0;\n",
    "    Double_t y = 0;\n",
    "    TH1D* h = new TH1D(\"h\",\"Q5\",100,0,10);\n",
    "    TF1* f = new TF1(\"f\",\"TMath::Exp(-x)\",0,10);\n",
    "\n",
    "    for (int i=0; i<1000; i++){\n",
    "        x = rnd.Rndm();\n",
    "        y = -TMath::Log(x);\n",
    "        if (y < 100) { h->Fill(y); }\n",
    "    }\n",
    "\n",
    "    TCanvas* c1 = new TCanvas(\"Q5\");\n",
    "    Double_t scale = f->Integral(0,10)/h->Integral(\"width\");\n",
    "\n",
    "    h->Scale(scale);\n",
    "    //h->Sumw2();\n",
    "    h->Draw(\"E1\");\n",
    "    f->Draw(\"same\");\n",
    "    c1->Draw();\n",
    "\n",
    "    /******** Question 6 ************/\n",
    "    Double_t tau = 3.4e-13; // Unit: 1e-13\n",
    "    Double_t L = 0;\n",
    "    Double_t v = 0.7; // Unit: c\n",
    "    TH1D* hh = new TH1D(\"hh\",\"Q6;L/m;N\",100,0,1e-3); \n",
    "    for (int i=0; i<10000; i++) {\n",
    "        x = rnd.Rndm();\n",
    "        y = -tau*TMath::Log(x);     // 随机产生指数分布的粒子寿命\n",
    "        L = v/(TMath::Sqrt(1-v*v))*y*(3e+8);  // 考虑相对论修正\n",
    "        hh->Fill(L);    \n",
    "    }\n",
    "    TCanvas* cc = new TCanvas(\"Q6\");\n",
    "    hh->Draw(\"E1\");\n",
    "    cc->Draw();\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 第七题\n",
    "\n",
    "程序结果如下："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning in <TROOT::Append>: Replacing existing TH1: h (Potential memory leak).\n",
      "Warning in <TCanvas::Constructor>: Deleting canvas with same name: c\n"
     ]
    }
   ],
   "source": [
    "{\n",
    "    /******** Question 7 ************/\n",
    "    Double_t pi = TMath::Pi();\n",
    "    TH2D* h = new TH2D(\"h\",\"Q7;phi;theta\",\n",
    "                       100,0,2*pi, // phi\n",
    "                       100,0,pi);  // theta\n",
    "    TRandom3 rnd(23487);\n",
    "\n",
    "    Double_t phi = 0;\n",
    "    Double_t t = 0;                // Uniform random to generate theta\n",
    "    Double_t theta = 0;\n",
    "\n",
    "    for(int i=0;i<10000;i++){\n",
    "        phi = 2*pi*rnd.Rndm();\n",
    "        t = rnd.Rndm();\n",
    "        theta = TMath::ACos(t*2-1);  // 反函数法抽样\n",
    "        h->Fill(phi,theta);\n",
    "    }\n",
    "    TCanvas* c = new TCanvas(\"c\",\"Q7\",400,400);\n",
    "    h->Draw(\"cont4\");\n",
    "    c->Draw();\n",
    "}"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 第八题\n",
    "\n",
    "利用条件概率抽取，框图如下：\n",
    "\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "{\n",
    "    /******** Question 8 ************/\n",
    "    TRandom3 rnd(235847);\n",
    "    Int_t n = 1;\n",
    "    TH2D* hh = new TH2D(\"hh\",\"Q8;x;y\",\n",
    "                        100,1,20,     // x\n",
    "                        100,0,20);    // y\n",
    "    \n",
    "    Double_t x = 0;\n",
    "    Double_t y = 0;\n",
    "    \n",
    "    for(int i=0;i<1000;i++){\n",
    "        x = TMath::Power(rnd.Rndm(),-1/n);\n",
    "        y = -TMath::Log(rnd.Rndm())/x;\n",
    "        hh->Fill(x,y);\n",
    "    }\n",
    "    \n",
    "    TF2* ff = new TF2(\"ff\",\"TMath::Exp(-x*y)/x\",1,20,0,20);\n",
    "    \n",
    "    TCanvas* c2 = new TCanvas(\"c2\",\"Q8\",800,400);\n",
    "    c2->Divide(2,1);\n",
    "    c2->cd(1);\n",
    "    hh->Draw(\"Lego\");\n",
    "    c2->cd(2);\n",
    "    ff->Draw(\"Surf\");\n",
    "    c2->Draw();\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "上图为代码实现的结果，左图是随机抽样所得的分布，右图则为题目给出的函数曲面。\n",
    "\n",
    "对比发现，随机抽样所得分布与给定的概率密度分布函数一致。"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "ROOT C++",
   "language": "c++",
   "name": "root"
  },
  "language_info": {
   "codemirror_mode": "text/x-c++src",
   "file_extension": ".C",
   "mimetype": " text/x-c++src",
   "name": "c++"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
